Given numbers are 489,435,741,596,528

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 489,435,741,596,528 is 459274941840.

Find LCM of 489,435,741,596,528 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 163 x 145 x 247 x 149 x 44 = 459274941840

Therefore, the lowest common multiple of 489,435,741,596,528 is 459274941840.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

489 x 435 x 741 x 596 x 528 = 49601693718720

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

489 : 1, 3, 163, 489

435 : 1, 3, 5, 15, 29, 87, 145, 435

741 : 1, 3, 13, 19, 39, 57, 247, 741

596 : 1, 2, 4, 149, 298, 596

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,435,741,596,528, is 1.

Now, the common factors can be found like this.

489:3x 163

435:3x 5x 29

741:3x 13x 19

596:2x 2x 149

528:2x 2x 2x 2x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 49601693718720/(1x108)

LCM = 49601693718720/108

LCM = 459274941840

Thus, we can understand that the LCM of 489,435,741,596,528 is 459274941840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 883, 892, 275, 261, 168
• LCM of 549, 414, 623, 132, 928
• LCM of 294, 843, 792, 553, 204
• LCM of 551, 515, 510, 386, 898
• LCM of 765, 519, 763, 671, 286

1. What is the LCM of 489, 435, 741, 596, 528?

Answer: LCM of 489, 435, 741, 596, 528 is 459274941840.

2. How to calculate the LCM of 489, 435, 741, 596, 528?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 489, 435, 741, 596, 528.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.